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Finding the Third Proportional to 20,055.94 and 31,180.78

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Solution

The third proportional to 20,055.94 and 31,180.78 is: 48,476.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,055.94 : 31,180.78 = 31,180.78 : x
  2. Step 2: Convert to fraction form
    20,055.94/31,180.78 = 31,180.78/x
  3. Step 3: Cross multiply
    20,055.94x = 31,180.78 × 31,180.78
  4. Step 4: Simplify right side
    20,055.94x = 972,241,119.36
  5. Step 5: Solve for x
    x = 972,241,119.36/20,055.94
  6. Step 6: Final answer
    x = 48,476.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.